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Finding the Third Proportional to 27,290 and 59,438

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Solution

The third proportional to 27,290 and 59,438 is: 129,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,290 : 59,438 = 59,438 : x
  2. Step 2: Convert to fraction form
    27,290/59,438 = 59,438/x
  3. Step 3: Cross multiply
    27,290x = 59,438 × 59,438
  4. Step 4: Simplify right side
    27,290x = 3,532,875,844
  5. Step 5: Solve for x
    x = 3,532,875,844/27,290
  6. Step 6: Final answer
    x = 129,456.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.